{
  "id": "2001.06435",
  "version": "v1",
  "published": "2020-01-17T17:07:12.000Z",
  "updated": "2020-01-17T17:07:12.000Z",
  "title": "Addendum and Erratum: Mapping cones for morphisms involving a band complex in the bounded derived category of a gentle algebra",
  "authors": [
    "Ilke Canakci",
    "David Pauksztello",
    "Sibylle Schroll"
  ],
  "comment": "13 pages, addendum and erratum to arXiv:1609.09688",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "In this note we correct two oversights in [Mapping cones in the bounded derived category of a gentle algebra, J. Algebra 530 (2019), 163--194, also arXiv:1609.09688] which only occur when a band complex is involved. As a consequence we see that the mapping cone of a morphism between two band complexes can decompose into arbitrarily many indecomposable direct summands.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-17T17:07:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30",
      "16G10",
      "05E10"
    ],
    "keywords": [
      "bounded derived category",
      "band complex",
      "mapping cone",
      "gentle algebra",
      "indecomposable direct summands"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}